Abstract

Abstract In this article, we describe the underlying reduced scheme of a quaternionic unitary Rapoport–Zink space with Iwahori level structure. In a previous work, we have studied the quaternionic unitary Rapoport–Zink space with a special maximal parahoric level structure. We will describe the morphism between these two Rapoport–Zink spaces and the fibers of this morphism. As an application of this result, we describe the quaternionic unitary Rapoport–Zink space with any parahoric level structure.

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